Statement of Changes in Beneficial Ownership (4)

FORM 4

[ ] Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES

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3235-0287

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Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940

1. Name and Address of Reporting Person * Schoonman Geurt G	2. Issuer Name and Ticker or Trading Symbol HESS CORP [ HES ]	5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director                    _____ 10% Owner __X__ Officer (give title below)    _____ Other (specify below) Senior Vice President
(Last)          (First)          (Middle) 1185 AVENUE OF THE AMERICAS	3. Date of Earliest Transaction (MM/DD/YYYY) 5/6/2021
(Street) NEW YORK, NY 10036 (City)        (State)        (Zip)	4. If Amendment, Date Original Filed (MM/DD/YYYY)	6. Individual or Joint/Group Filing (Check Applicable Line) _X _ Form filed by One Reporting Person ___ Form filed by More than One Reporting Person

Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security (Instr. 3)	2. Trans. Date	2A. Deemed Execution Date, if any	3. Trans. Code (Instr. 8)		4. Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5)			5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4)	6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4)	7. Nature of Indirect Beneficial Ownership (Instr. 4)
			Code	V	Amount	(A) or (D)	Price
Common Stock, $1.00 par value	5/6/2021		M(1)		11522	A	$0.00	50223	D
Common Stock, $1.00 par value	5/6/2021		S		11522	D	$80.14 (2)	38701 (3)	D

Table II - Derivative Securities Beneficially Owned (e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivate Security (Instr. 3)	2. Conversion or Exercise Price of Derivative Security	3. Trans. Date	3A. Deemed Execution Date, if any	4. Trans. Code (Instr. 8)		5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5)		6. Date Exercisable and Expiration Date		7. Title and Amount of Securities Underlying Derivative Security (Instr. 3 and 4)		8. Price of Derivative Security (Instr. 5)	9. Number of derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4)	10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4)	11. Nature of Indirect Beneficial Ownership (Instr. 4)
				Code	V	(A)	(D)	Date Exercisable	Expiration Date	Title	Amount or Number of Shares
Option to purchase Common Stock	$56.74	5/6/2021		M			5761	3/6/2020	3/6/2029	Common Stock, $1.00 par value	5761	$0.00	0	D
Option to purchase Common Stock	$56.74	5/6/2021		M			5761	3/6/2021	3/6/2029	Common Stock, $1.00 par value	5761	$0.00	0	D

Explanation of Responses:
(1)	Common Stock acquired upon exercise of options granted under the Corporation's Long-Term Incentive Plans.
(2)	The reported sales transactions were executed at prices ranging from $80.12 to $80.23. The price reported above reflects the weighted average sales price. The reporting person hereby undertakes to provide, upon request, to the SEC staff, the issuer or a security holder of the issuer, full information regarding the number of shares and prices at which the transactions reported on this form were effected.
(3)	This amount includes 11,989 shares held in escrow pursuant to the Corporation's Long Term Incentive Plans. The reporting person has only voting power of these shares until lapsing of the period set by the Committee administering the Plans at which time the shares plus accrued dividends will be delivered to the reporting person if he is still an employee of the Corporation.

Reporting Owners
Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Schoonman Geurt G 1185 AVENUE OF THE AMERICAS NEW YORK, NY 10036			Senior Vice President

Signatures
Barry Schachter for Geurt G. Schoonman		5/7/2021
**Signature of Reporting Person		Date